Now using (REF ) OLCT of a real-valued function \(\mathcal {L}^{A_1,A_2,A_3}_{\mu _1,\mu _2,\mu _4}\lbrace f\rbrace (w)\)  of three variables can be expressed as octonion sum of
components of different parity ([1]}, [2]}):
\(\nonumber \mathcal {L}^{A_1,A_2,A_3}_{\mu _1,\mu _2,\mu _4}\lbrace f\rbrace (w)&=&L_{eee}+L_{oee}\mu _1+L_{eoe}\mu _2+L_{ooe}\mu _3+L_{eeo}\mu _4\\\nonumber &&\qquad \qquad \qquad +L_{oeo}\mu _5+L_{eoo}\mu _6+L_{ooo}\mu _7\\\ \) 
